Perturbations of discrete lattices and almost periodic sets

• Published in: Algebra and Discrete Mathematics
• Date: 2010
• ISSN: 1726-3255
• Main Authors: Favorov, S., Kolbasina, Y.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154502
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Perturbations of discrete lattices and almost periodic sets / S. Favorov, Y. Kolbasina // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 48–58. — Бібліогр.: 11 назв. — англ.

A discrete set in the p-dimensional Euclidian space is almost periodic, if the measure with the unite masses at points of the set is almost periodic in the weak sense. We propose to construct positive almost periodic discrete sets as an almost periodic perturbation of a full rank discrete lattice....